Recently, Glavan and Lin [1]} introduced a general covariant modified version of the theory which sorts out multiple non-trivial problems occurring in \(4-D\)  spacetime and higher dimensions. The Gauss-Bonnet term (\(\alpha \) ) in \(4-D\)  spacetime is nothing but Euler Density and hence a total derivative and does not effect the gravitational dynamics. But on higher dimensions, \(D>4\) , it contains an exterior result of the total derivative along with a \((D-4)\)  form. In the higher dimension scenario, Mardones et al. [2]} and Torii et al. [3]} expressed that the contribution of the Gauss-Bonnet term is proportional to a vanishing factor of \((D-4)\)  . Glavan and Lin [1]} rescaled the coupling factor i.e. \(\alpha \)  to \(\frac{\alpha }{(D-4)}\) . This rescaling is very much congruous to general relativity as it maintains equal degrees of freedom in all dimensions and also rules out the Ostrogradsky instability [5]}. The regularization of the Gauss-Bonnet term at \(D=4\)  providing non-trivial contribution in dynamics was first shown by Tomozawa [6]}.
